The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet? 24/25 feet 25/24 feet

Question

The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet?
24/25 feet
25/24 feet
2/3 feet
3/2 feet​

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Hải Đăng 4 years 2021-08-22T07:46:17+00:00 1 Answers 295 views 1

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    2021-08-22T07:47:18+00:00

    Answer:

    2/3 feet.

    Step-by-step explanation:

    The formula for finding the area of a triangle is  A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don’t know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.

    Next, we have to multiply both sides by two, to cancel the “/2.” That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.

    Finally, we simplify! 4/6 simplifies to 2/3.

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